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Finding the Fourth Proportional to 491,942.45, 737,748.61 and 188,265.78

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Solution

The fourth proportional to 491,942.45, 737,748.61 and 188,265.78 is: 282,335.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,942.45 : 737,748.61 = 188,265.78 : x
  2. Step 2: Convert to fraction form
    491,942.45/737,748.61 = 188,265.78/x
  3. Step 3: Cross multiply
    491,942.45x = 737,748.61 × 188,265.78
  4. Step 4: Simplify right side
    491,942.45x = 138,892,817,034.90
  5. Step 5: Solve for x
    x = 138,892,817,034.90/491,942.45
  6. Step 6: Final answer
    x = 282,335.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.